AnalysisApplied MathematicsPure_mathematics/0304015Non-Hermitian matrix Schrdinger equation obtained by the Bcklund- Darboux transformation (BDT) is treated. The potentials, fundamental solutions, and Weyl funSocial Science Electronic Publishing
matrix generationnon‐Hermitian matrixparallel computingspectrumIterative linear algebra methods to solve linear systems and eigenvalue problems with non〩ermitian matrices are important for both the simulation arising from diverse scientific fields and the applications related to big data, machine learning,...
另外，如果我们可以找到一个新的positive definite matrix, S, 满足如下条件：（注意这里通过Θ的Hermicit...
另外，如果我们可以找到一个新的positive definite matrix, S, 满足如下条件：（注意这里通过Θ的Her...
We construct, analyze, and implement SSOR-like preconditioners for non-Hermitian positive definite system of linear equations when its coefficient matrix possesses either a dominant Hermitian part or a dominant skew-Hermitian part. We derive tight bounds for eigenvalues of the preconditioned matrices and...
The scalar always corresponds to simple harmonic motion (if stable); thus, we are only concerned with the real matrix. Without loss of generality, upon appropriate rotation, the real matrix \({\mathop{{{\bf{K}}}\limits^{\leftrightarrow}}_{{{\rm{OT}}}\) can be expressed as $${\...
The standard two-by-two matrix representation of the quaternions leads to generalization of so-called matrix-valued resolvent, proposed recently in the context of diagrammatic methods [1-6]. We argue that quaternion Green's function obeys Free Variables Calculus [7,8]. In particular, the ...
Nourdin, I., Peccati, G.: Universal Gaussian fluctuations of non-Hermitian matrix ensembles: from weak convergence to almost sure CLTs. ALEA Lat. Am. J. Probab. Math. Stat. 7, 341–375 (2010) MathSciNet MATH Google Scholar O’Rourke, S., Renfrew, D.: Central limit theorem for linea...
A parametric point at which a matrix has two degenerate eigenvalues and the eigenvectors still span the vector space. Jordan block form A matrix with zeroes everywhere except for the diagonal and with the superdiagonal being equal to 1.
4) Hermite matrix 厄米特矩阵 1. This paper gives Holder s inequality,Minkowski s inequality,arithmetric- geometric mean inequality of theHermite matrixtrace. 本文给出了厄米特矩阵迹的 Holder 不等式,Minkowski 不等式和算术几何平均值不等式。